Classify the Red Hot Chili Peppers' song "Snow (Hey Oh)" as a Christmas carol

Every December, radio stations and retail outlets' P.A. systems barrage us with Christmas carols. Many of these songs, such as "Jingle Bells", "Frosty the Snowman", and "Walking in a Winter Wonderland" actually have nothing to do with Christmas. If these songs can be considered Christmas carols, why not "Snow (Hey Oh)" by the Red Hot Chili Peppers? We implore those who choose their December playlists to consider the inclusion of this fine song.